Sorry for following up so slowly. I was delayed by something unexpected.
Any suggestions and comments are welcome. Thank you for your time!
https://github.com/yj1190590/PoAS/

Major changes：
Some redundant chapters are removed.
Sections about the security and fairness are added.
Modified the rule of network dispersity competition to ensure fairness.

Related post：
Discussion about the probobility of historical attack:https://bitcointalk.org/index.php?topic=5094909.0